theorem Th29: :: TERMORD:29

for n being Ordinal
for T being connected admissible TermOrder of n
for L being non trivial right_complementable well-unital distributive add-associative right_zeroed domRing-like left_zeroed doubleLoopStr
for p, q being non-zero Polynomial of n,L holds (HT (p,T)) + (HT (q,T)) in Support (p *' q)